- #106

Mark44

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Obviously no one can show a complete infinite list, but so what? The assumption is that such a list exists. And for any finite index n, each digit on the diagonal can be changed to generate a new number that is not included in the preceding n elements on the list. Since this process can be performed for any index n, that's sufficient to prove that the "complete" list cannot possibly be complete.phyti said:Cantor, nor anyone else can show you a complete infinite list. It's an abstraction that cannot be made manifest for viewing.